1672358400 has 300 divisors, whose sum is σ = 6193358622. Its totient is φ = 445685760.

The previous prime is 1672358383. The next prime is 1672358407. The reversal of 1672358400 is 48532761.

1672358400 is a `hidden beast` number, since 1 + 6 + 72 + 3 + 584 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1327290624 + 345067776 = 36432^2 + 18576^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1672358407) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1035994 + ... + 1037606.

Almost surely, 2^1672358400 is an apocalyptic number.

1672358400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1672358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096679311).

1672358400 is an abundant number, since it is smaller than the sum of its proper divisors (4521000222).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1672358400 is an equidigital number, since it uses as much as digits as its factorization.

1672358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1672358400 is about 40894.4788449492. The cubic root of 1672358400 is about 1186.9792272372.

The spelling of 1672358400 in words is "one billion, six hundred seventy-two million, three hundred fifty-eight thousand, four hundred".